When photons of wavelength $${{\lambda }_{1}}$$ are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength $${{\lambda }_{2}}$$ are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength $${{\lambda }_{3}}$$ is used then find the stopping potential for this case:

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TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}+\frac{1}{{{\lambda }_{2}}}-\frac{1}{{{\lambda }_{1}}} \right]$$

TuteeHUB · Answer

$$\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}+\frac{1}{2{{\lambda }_{2}}}-\frac{1}{{{\lambda }_{1}}} \right]$$

TuteeHUB · Answer

$$\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}-\frac{1}{{{\lambda }_{2}}}-\frac{1}{{{\lambda }_{1}}} \right]$$

TuteeHUB · Answer

$$\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}+\frac{1}{2{{\lambda }_{2}}}-\frac{3}{2{{\lambda }_{1}}} \right]$$

1.	When photons of wavelength \[{{\lambda }_{1}}\] are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength \[{{\lambda }_{2}}\] are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength \[{{\lambda }_{3}}\] is used then find the stopping potential for this case:
A.	\[\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}+\frac{1}{{{\lambda }_{2}}}-\frac{1}{{{\lambda }_{1}}} \right]\]
B.	\[\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}+\frac{1}{2{{\lambda }_{2}}}-\frac{1}{{{\lambda }_{1}}} \right]\]
C.	\[\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}-\frac{1}{{{\lambda }_{2}}}-\frac{1}{{{\lambda }_{1}}} \right]\]
D.	\[\frac{hc}{e}\left[ \frac{1}{{{\lambda }_{3}}}+\frac{1}{2{{\lambda }_{2}}}-\frac{3}{2{{\lambda }_{1}}} \right]\]
Answer» E.

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